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Measurements and computations of flow in pipe bends

Published online by Cambridge University Press:  29 March 2006

M. Rowe
M. Rowe
Affiliation:
Engineering Department, University of Cambridge
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Abstract

Measurements are given of the total pressure and yaw relative to the pipe axis of flow in various pipe bends attached to the end of a long straight pipe, for a pipe Reynolds number of 2·36 × 105. The behaviour of the induced secondary flows is presented in detail. In a 180° bend it is found that, from the start of the bend, the secondary flows increase to a maximum and then decrease to a steady value. This effect is explained by relating the local total pressure gradient to the production of streamwise vorticity. The same flow mechanism is used to predict qualitatively the flow pattern in an S-bend in which it is found that the secondary flows cause a complete interchange of the slow moving wall fluid and the faster central core. Results of a computer program for calculating the secondary flow from a knowledge of the upstream velocity profile are included. Although real fluid effects, other than those causing the upstream velocity profile, are omitted from the computations, the measured flow pattern is reasonably well predicted in a long bend up to a bend angle of about 75°.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 43 , Issue 4 , 2 October 1970 , pp. 771 - 783
Copyright
© 1970 Cambridge University Press

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References

Adler, M. 1934 Strömung in gekrümmten Rohren. Z. angew. Math. Mech. 14, 257–275.Google Scholar
Detra, R. W. 1953 The secondary flow in curved pipes. E.T.H., Zurich, Mitt. a. d. Inst. f. Aerodynamik, no. 20.Google Scholar
Eichenberger, H. P. 1951 Shear flow in bends. M.Sc. Thesis, MIT.
Goldstein, S. 1938 Modern Developments in Fluid Mechanics (vols. 1, 2). Oxford University Press.
Hawthorne, W. R. 1951 Secondary circulation in fluid flow. Proc. Roy. Soc. A 206, 374–387.Google Scholar
Hawthorne, W. R. 1961 Flow in bent pipes. Proc. of Seminar in Aero. Sciences, Nat. Aero. Lab. Bangalore, (pp. 305–333).Google Scholar
Itö, H. 1959 Friction factors for turbulent flow in curved pipes. Trans. ASME, D, 81, 123–134.Google Scholar
Percival, P. M. E. 1958 Some problems in the rotational flow of fluids. Ph.D. Thesis, Cambridge University.
Remfry, J. 1954 Heat transference and pressure loss for air flowing in passages of small dimensions. Aero. Res. Counc., R. & M. no. 2638.Google Scholar
Rowe, M. 1966 Some secondary flow problems in fluid dynamics. Ph.D. Thesis, Cambridge University.
Schlichting, H. 1955 Boundary Layer Theory. New York: McGraw-Hill.
Schulze, W. M., Ashby, G. C. & Erwin, J. R. 1952 Several combination probes for surveying static and total pressure and flow distribution. NACA TN 2930.Google Scholar
Squire, H. B. & Winter, K. G. 1951 The secondary flow in a cascade of airfoils in a non-uniform stream. J. Aero. Sci. 18, 271–277.Google Scholar
Squire, H. B. 1954 Note on secondary flow in a curved circular pipe. Aero. Res. Counc., Rep. no. 16601.Google Scholar